Magma V2.19-8 Tue Aug 20 2013 23:29:44 on localhost [Seed = 3599806603] Type ? for help. Type -D to quit. Loading file "K13n1237__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n1237 geometric_solution 7.45187180 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 9 1 2 1 3 0132 0132 1023 0132 0 0 0 0 0 0 1 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -14 13 14 0 -14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.323273191986 0.975039998651 0 4 0 4 0132 0132 1023 1023 0 0 0 0 0 0 -1 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 14 -14 -14 0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.445687188444 0.259173309297 5 0 6 3 0132 0132 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.007960932071 0.930236465620 7 2 0 7 0132 0321 0132 1023 0 0 0 0 0 0 1 -1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -13 13 -13 0 0 13 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.076947258297 1.353593619883 6 1 7 1 1230 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -14 14 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.323273191986 0.975039998651 2 6 7 8 0132 1230 0213 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.744816682402 0.999729953060 8 4 5 2 3201 3012 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.639945947949 0.306557689435 3 5 4 3 0132 0213 1023 1023 0 0 0 0 0 0 -1 1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 14 -13 13 0 0 -13 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.076947258297 1.353593619883 8 8 5 6 1302 2031 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.616474259904 0.432987547857 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : d['c_0011_6'], 'c_1001_7' : d['c_0101_4'], 'c_1001_6' : negation(d['c_0011_0']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_4']), 'c_1001_8' : d['c_0101_6'], 's_2_8' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_0_8' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_8' : d['c_0011_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_1100_0']), 'c_1100_6' : negation(d['c_0101_4']), 'c_1100_1' : negation(d['c_1100_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0101_4']), 'c_1010_7' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0101_4']), 'c_1010_5' : d['c_0101_6'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0011_6'], 'c_1010_0' : negation(d['c_0101_4']), 'c_1010_8' : d['c_0011_8'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_8' : d['1'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0011_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_8']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0011_8']), 'c_0110_8' : negation(d['c_0101_6']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_6'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : negation(d['c_0011_8']), 'c_0110_4' : d['c_0011_6'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_8'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_4, c_0101_6, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t + 233379532033708264655/103222724183676018*c_1100_0^16 + 2040049155027455209/103222724183676018*c_1100_0^15 - 627824101318434785584/17203787363946003*c_1100_0^14 + 1093984911400504341427/11469191575964002*c_1100_0^13 - 7448752188737495782271/103222724183676018*c_1100_0^12 - 3808023731214522640588/51611362091838009*c_1100_0^11 + 6599584977174128138779/34407574727892006*c_1100_0^10 - 7432264428287465339219/51611362091838009*c_1100_0^9 + 385815938697578072470/51611362091838009*c_1100_0^8 + 2371260414592830211715/34407574727892006*c_1100_0^7 - 5998336326835561000951/103222724183676018*c_1100_0^6 + 380689658230920580273/17203787363946003*c_1100_0^5 - 203505730063331136793/103222724183676018*c_1100_0^4 - 36945193911128844668/17203787363946003*c_1100_0^3 + 6673896706841268461/5734595787982001*c_1100_0^2 - 9721549434073788493/34407574727892006*c_1100_0 + 3035163450098169587/103222724183676018, c_0011_0 - 1, c_0011_3 - 106762561638755/13243870180097*c_1100_0^16 - 70649147132674/13243870180097*c_1100_0^15 + 1194308838983501/13243870180097*c_1100_0^14 - 3222895409146610/13243870180097*c_1100_0^13 + 8933214923944706/13243870180097*c_1100_0^12 - 19102747351168944/13243870180097*c_1100_0^11 + 17906827287066616/13243870180097*c_1100_0^10 + 9316073320419749/13243870180097*c_1100_0^9 - 41850073854326609/13243870180097*c_1100_0^8 + 44906527016477224/13243870180097*c_1100_0^7 - 18748955607483692/13243870180097*c_1100_0^6 - 7357383038805393/13243870180097*c_1100_0^5 + 15477932390359067/13243870180097*c_1100_0^4 - 10761425017780333/13243870180097*c_1100_0^3 + 4414686058714678/13243870180097*c_1100_0^2 - 1113907826593297/13243870180097*c_1100_0 + 157994137418441/13243870180097, c_0011_6 - 72199640883117330/13243870180097*c_1100_0^16 + 93032945864902946/13243870180097*c_1100_0^15 + 1111600768459402450/13243870180097*c_1100_0^14 - 4539917072703627159/13243870180097*c_1100_0^13 + 7131536737740841779/13243870180097*c_1100_0^12 - 3229737929413304125/13243870180097*c_1100_0^11 - 6577235404208800900/13243870180097*c_1100_0^10 + 13465985533025172838/13243870180097*c_1100_0^9 - 11132259025326086929/13243870180097*c_1100_0^8 + 3191006740224839332/13243870180097*c_1100_0^7 + 2857140685451386512/13243870180097*c_1100_0^6 - 4127417392464010046/13243870180097*c_1100_0^5 + 2665964435776917771/13243870180097*c_1100_0^4 - 1084683162070963182/13243870180097*c_1100_0^3 + 288448408735693104/13243870180097*c_1100_0^2 - 46709650369423440/13243870180097*c_1100_0 + 3518272038195063/13243870180097, c_0011_8 + 7854502136470165/13243870180097*c_1100_0^16 - 13136160904183223/13243870180097*c_1100_0^15 - 117430261149325905/13243870180097*c_1100_0^14 + 541001802705950081/13243870180097*c_1100_0^13 - 959407683370673612/13243870180097*c_1100_0^12 + 621892737625050910/13243870180097*c_1100_0^11 + 625564161229342264/13243870180097*c_1100_0^10 - 1760358488085085955/13243870180097*c_1100_0^9 + 1730999143063744970/13243870180097*c_1100_0^8 - 726884651275927791/13243870180097*c_1100_0^7 - 244593316671890916/13243870180097*c_1100_0^6 + 583734129229090475/13243870180097*c_1100_0^5 - 441813042405919780/13243870180097*c_1100_0^4 + 203768817233589216/13243870180097*c_1100_0^3 - 61541530559827309/13243870180097*c_1100_0^2 + 11551937648816617/13243870180097*c_1100_0 - 1057346181981863/13243870180097, c_0101_0 + 58663121415478470/13243870180097*c_1100_0^16 - 77276344821646629/13243870180097*c_1100_0^15 - 902984844597072207/13243870180097*c_1100_0^14 + 3715896703352318865/13243870180097*c_1100_0^13 - 5868999190386744247/13243870180097*c_1100_0^12 + 2688274836440447442/13243870180097*c_1100_0^11 + 5387579911169623311/13243870180097*c_1100_0^10 - 11085231467450515185/13243870180097*c_1100_0^9 + 9170854056467463016/13243870180097*c_1100_0^8 - 2621249700300046468/13243870180097*c_1100_0^7 - 2361064101705033217/13243870180097*c_1100_0^6 + 3398351104277810846/13243870180097*c_1100_0^5 - 2189327894051851443/13243870180097*c_1100_0^4 + 888285306688393996/13243870180097*c_1100_0^3 - 235502493497881862/13243870180097*c_1100_0^2 + 38002452372090622/13243870180097*c_1100_0 - 2849791070773445/13243870180097, c_0101_1 + 72199640883117330/13243870180097*c_1100_0^16 - 93032945864902946/13243870180097*c_1100_0^15 - 1111600768459402450/13243870180097*c_1100_0^14 + 4539917072703627159/13243870180097*c_1100_0^13 - 7131536737740841779/13243870180097*c_1100_0^12 + 3229737929413304125/13243870180097*c_1100_0^11 + 6577235404208800900/13243870180097*c_1100_0^10 - 13465985533025172838/13243870180097*c_1100_0^9 + 11132259025326086929/13243870180097*c_1100_0^8 - 3191006740224839332/13243870180097*c_1100_0^7 - 2857140685451386512/13243870180097*c_1100_0^6 + 4127417392464010046/13243870180097*c_1100_0^5 - 2665964435776917771/13243870180097*c_1100_0^4 + 1084683162070963182/13243870180097*c_1100_0^3 - 288448408735693104/13243870180097*c_1100_0^2 + 46709650369423440/13243870180097*c_1100_0 - 3518272038195063/13243870180097, c_0101_4 + 121305321217611135/13243870180097*c_1100_0^16 - 154930168727730457/13243870180097*c_1100_0^15 - 1866415248725452156/13243870180097*c_1100_0^14 + 7605331198755967775/13243870180097*c_1100_0^13 - 11943188109920793918/13243870180097*c_1100_0^12 + 5435766784341686966/13243870180097*c_1100_0^11 + 10957796632505629383/13243870180097*c_1100_0^10 - 22534907269002678688/13243870180097*c_1100_0^9 + 18718720775906355889/13243870180097*c_1100_0^8 - 5452941361143522862/13243870180097*c_1100_0^7 - 4731706102517281570/13243870180097*c_1100_0^6 + 6926689561107882544/13243870180097*c_1100_0^5 - 4500271414365224413/13243870180097*c_1100_0^4 + 1839886670844074154/13243870180097*c_1100_0^3 - 491552609436727104/13243870180097*c_1100_0^2 + 79998041401900890/13243870180097*c_1100_0 - 6064430203502505/13243870180097, c_0101_6 - 144800549152647190/13243870180097*c_1100_0^16 + 189924514897574948/13243870180097*c_1100_0^15 + 2225552957456865151/13243870180097*c_1100_0^14 - 9158444226956765461/13243870180097*c_1100_0^13 + 14505287587620449516/13243870180097*c_1100_0^12 - 6756325740606429415/13243870180097*c_1100_0^11 - 13141901453494155337/13243870180097*c_1100_0^10 + 27370974171879747060/13243870180097*c_1100_0^9 - 22864755236466258159/13243870180097*c_1100_0^8 + 6722640928909111774/13243870180097*c_1100_0^7 + 5733530837034199513/13243870180097*c_1100_0^6 - 8437481023330749185/13243870180097*c_1100_0^5 + 5485186572436953614/13243870180097*c_1100_0^4 - 2242068327291252158/13243870180097*c_1100_0^3 + 598875301025847176/13243870180097*c_1100_0^2 - 97520456907337664/13243870180097*c_1100_0 + 7410895341451431/13243870180097, c_1100_0^17 - 91/55*c_1100_0^16 - 164/11*c_1100_0^15 + 3768/55*c_1100_0^14 - 6712/55*c_1100_0^13 + 898/11*c_1100_0^12 + 4066/55*c_1100_0^11 - 12102/55*c_1100_0^10 + 12312/55*c_1100_0^9 - 511/5*c_1100_0^8 - 250/11*c_1100_0^7 + 3954/55*c_1100_0^6 - 642/11*c_1100_0^5 + 1589/55*c_1100_0^4 - 106/11*c_1100_0^3 + 118/55*c_1100_0^2 - 16/55*c_1100_0 + 1/55 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB